This is a really cool concept that is difficult to understand out of the gate. I'm not sure how to progress after leaving the initial cage thing. With something this unique, I think your average player will need you to start simpler, and very slowly ramp up the complexity. Portal is an excellent example. First room: walk through a portal; you win! Second room: grab a box and put it on a switch; you win! Third room: walk through a portal (at the right time), pickup a box, walk through the portal again (at the right time), put it on a switch; you win! It seems dumb when you look at it laid out like this, but there's a reason Portal is so widely acclaimed. By ramping up complex/unique mechanics over time, you ease the player into understanding the playspace possibilities. Then you can do all sorts of fun crazy stuff as the game goes on and player skill increases.
Also, the areas feel large for how slow the movement speed is on this.
If you choose to keep developing this game, playtest with other people frequently with an eye on usability and puzzle execution. For a game like this, there's no other way to get it right.